Problema Solution

A 39-foot ladder is leaning against a building. The base of the ladder is 15 feet from the side of the building. How high does the ladder reach along the side of the building?

Answer provided by our tutors

let


h = the height on the building to where the ladder reaches, h>0


using the Pythagorean Theorem we have:


h^2 = 39^2 - 15^2


by solving we find:


h = 36 ft


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the ladder reaches to 36 ft along the side of the building.